Peter BaxendaleProfessor of MathematicsContact Information Email: baxendal@math.usc.edu Phone: (213) 7403789 Office: KAP 424B LINKS Curriculum Vitae Faculty Profile on Departmental Website 
Education 

Ph.D. Mathematics, University of Warwick, England, 6/1974  
M.S. Mathematics, University of Warwick, England, 9/1970  
B.A. Mathematics, University of Cambridge, 6/1969  
Academic Appointment, Affiliation, and Employment History 

Tenure Track Appointments 

Professor of Mathematics, University of Southern California, 08/01/1988  
Associate Professor of Mathematics, University of Florida, 08/01/198708/01/1988  
Lecturer in Mathematics, University of Aberdeen, Scotland, 09/01/197309/01/1987  
NonTenure Track Appointments 

Lecturer in Mathematics, University of Warwick, England, 01/01/197201/01/1973  
Description of Research 

Summary Statement of Research Interests 

Professor Baxendale studies diffusion processes, stochastic differential equations, stochastic flows of diffeomorphisms, stability and equilibrium behavior for random dynamical systems and stochastic bifurcation theory. His work also focuses on stability, statistical equilibrium and bifurcation theory for stochastic differential equations.  
Publications 

Book Chapter 

Baxendale, P. H. (1999). Stability along trajectories at a stochastic bifurcation point. pp. p. 125.. Stochastic Dynamics/Springer.  
Journal Article 

Arratia, R., Baxendale, P. H. (2014). Bounded size bias coupling: a gamma function bound, and universal Dickmanfunction behavior. Probability Theory and Related Fields. (10.1007/s004400140572x), pp. 17.  
Baxendale, P. H. (2011). T.E. Harris's contributions to recurrent Markov processes and stochastic flows. Annals of Probability. Vol. 39 (2), pp. 417428.  
Baxendale, P. H., Greenwood, P. E. (2010). Sustained oscillations for density dependent Markov processes. Journal of Mathematical Biology. Vol. 63, pp. 433457.  
Baxendale, P. H., Mayberry, J. (2009). A Spectral Analysis of the Sequence of Firing Phases in Stochastic IntegrateandFire Oscillators. Stochastic Processes and Applications.  
Baxendale, P. H., Dimitroff, G. (2009). Uniform shrinking and expansion under isotropic Brownian flows. Journal of Theoretical Probability. Vol. 22, pp. 620–639..  
Baxendale, P. H., Picas, M. (2007). Almost sure and moment Lyapunov exponents for a stochastic beam equation. Journal of Functional Analysis. Vol. 243, pp. 566610.  
Baxendale, P. H. (2005). Renewal theory and computable convergence rates for geometrically ergodic Markov chains. Annals of Applied Probability. Vol. vol 15 (2005), pp. pp 700738.  
Baxendale, P. H. (2004). Stochastic averaging and asymptotic behavior of the stochastic Duffingvan der Pol equation. Stochastic Processes and Their Applications/Elsevier. Vol. vol 113 (2004), pp. pp 235272.  
Baxendale, P. H., Liptser, R., Chigansky, P. (2004). Asymptotic stability of the Wonham filter: ergodic and nonergodic signals. SIAM Journal on Control and Optimization/SIAM. Vol. vol 43, pp. pp. 643669..  
Baxendale, P. H., Goukasian, L. (2002). Lyapunov exponents for small random perturbations of Hamiltonian systems. Annals of Probability. Vol. vol 30, pp. pp. 101134..  
Baxendale, P. H. (1994). A stochastic Hopf bifurcation. Probability Theory and Related Fields/Springer. Vol. vol 99, pp. pp. 581616..  
Proceedings 

Baxendale, P. H. (2005). Random sources and sinks for stochastic dynamical systems. Proceedings of ENOC2005, Fifth EUROMECH Nonlinear Dynamics Conference/Eindhoven University of Technology, The Netherlands.  
Baxendale, P. H. (2003). Lyapunov exponents and stability for the stochastic Duffingvan der Pol oscillator. pp. p. 125135. IUTAM Symposium on Nonlinear Stochastic Dynamics (N. Sri Namachchivaya and Y.K. Lin, eds)/Kluwer Academic Publications (Kluwer).  
Baxendale, P. H. (1991). Invariant measures for nonlinear stochastic differential equations. pp. pp. 123140. Lyapunov Exponents. Proc. Oberwolfach 1990 (L. Arnold, H. Crauel and J.P. Eckmann eds)/Springer.  
Honors and Awards 

Fellow (or Equivalent) of National Society in Discipline, Fellow of Institute of Mathematical Statistics, 1993  
Rollo Davidson Prize, University of Cambridge, 1987  
Service to the Profession 

Editorships and Editorial Boards 

Member of the editorial board, Stochastics and Dynamics, 20012008  
Professional Memberships 

Institute of Mathematical Statistics, 1989  
American Mathematical Society, 1987  
London Mathematical Society, 1972  
Faculty may update their profile by visiting https://mydornsife.usc.edu. 